The Drag Force Acting on a Car Can Be Modeled $$F _ { d } = \frac { 1 } { 2 } C _ { d } \rho {{ V } ^ { 2 }} A$$

Multiple Choice

The drag force acting on a car can be modeled using the following function: $$F _ { d } = \frac { 1 } { 2 } C _ { d } \rho {{ V } ^ { 2 }} A$$
where $F _ { d } =$ drag force
$C _ { d } =$ drag coefficient
$\rho =$ air density
$V =$ speed of car relative to air
$A =$ frontal area of car
The power $P$ required to overcome air resistance can be modeled according to $P = F _ { d } V$ .
When analyzing power as a function of velocity $P ( V )$ , what order is the resulting function?

A) first order
B) second order
C) third order
D) none of the above